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101.
一类具有对称性的非线性微分方程的正值同宿轨道 总被引:2,自引:0,他引:2
利用变分逼近方法,证明了二阶非线性微分方程ue(t)-a(t)u(t) f(t,u(t))=0存在惟一的正值同宿轨道,其中a(t)和f(t,u)都是关于变量t的偶函数。 相似文献
102.
John R. Graef Lingju Kong Xueyan Liu 《Journal of Difference Equations and Applications》2016,22(8):1167-1183
This paper is concerned with periodic boundary value problems for a fourth order nonlinear difference equation. Via variational methods and critical point theory, sufficient conditions are given for the existence of at least one solution, two solutions, and nonexistence of solutions. Our conditions do not involve the primitive function of the nonlinear term. Examples are provided to illustrate the applicability of the results. 相似文献
103.
X. H. Tang 《Mathematische Nachrichten》2016,289(1):116-127
In this paper, we study the homoclinic solutions of the following second‐order Hamiltonian system where , and . Applying the symmetric Mountain Pass Theorem, we establish a couple of sufficient conditions on the existence of infinitely many homoclinic solutions. Our results significantly generalize and improve related ones in the literature. For example, is not necessary to be uniformly positive definite or coercive; through is still assumed to be superquadratic near , it is not assumed to be superquadratic near . 相似文献
104.
Three important inequalities (the Poincaré, Hardy and generalized Poincaré inequalities) on the mixed boundary conditions are firstly established by some analytical techniques. Then the existence and multiplicity of positive solutions are studied for a class of semilinear elliptic equations with mixed Dirichlet-Neumann boundary conditions involving Hardy terms and Hardy-Sobolev critical exponents by using the variational methods. 相似文献
105.
Călin Şerban 《Journal of Difference Equations and Applications》2013,19(3):527-537
We are concerned with the existence of solutions for some discrete p-Laplacian equations subjected to a potential type boundary condition. Our approach is a variational one and relies on Szulkin's critical point theory. We obtain the existence of solutions in a coercive case as well as the existence of non-trivial solutions when the corresponding energy functional has a ‘mountain pass’ geometry. 相似文献
106.
作者利用监界点理论中的山路引理研究了一类非线性二阶差分方程边值问题解的存在性,获得了该边值问题有解的一个充分条件. 相似文献
107.
Yi-Wei Ye 《Journal of Mathematical Analysis and Applications》2008,344(1):462-471
The existence and multiplicity of periodic solutions are obtained for nonautonomous second order Hamiltonian systems by the minimax methods in critical point theory. 相似文献
108.
We study the quasilinear elliptic problem with multivalued terms.We consider the Dirichlet problem with a multivalued term appearing in the equation and a problem of Neumann type with a multivalued term appearing in the boundary condition. Our approach is based on Szulkin's critical point theory for lower semicontinuous energy functionals. 相似文献
109.
SOLUTIONS FOR A NONHOMOGENEOUS ELLIPTIC PROBLEM INVOLVING CRITICAL SOBOLEV-HARDY EXPONENT IN R^N 总被引:1,自引:0,他引:1
For the following elliptic problem where 2-(s)=2(N-s)/N-2 is the critical Sobolev-Hardy exponent, h(x)∈(D1,2(RN))*, the dual space of (D1,2(RN)), with h(x)≥((?))0. By Ekeland's variational principle, subsuper solutions and a Mountain Pass theorem, the authors prove that the above problem has at least two distinct solutions if 相似文献
110.
We use the critical point theory for convex, lower semicontinuous perturbations of C1-functionals to establish existence of multiple radial solutions for some one parameter Neumann problems involving the operator . Similar results for periodic problems are also provided. 相似文献